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Mathematical statistics of goals - Football. UEFA. Europe Championship

Graphs of sample (in blue) and basic random variables (probability density)


Quantity of matches (sample size) : 184, period of time : 06-08-2012 - 07-14-2024


Match total

Average per match E = 2.35, variance V = 2.14, SD = 1.46, E/V = 1.10, Min = 0, Max = 7
P1 = 37.0%, draw = 31.5%, P2 = 31.5%, total 0 = 9.2%, over 2.5 = 40.8%, under 2.5 = 59.2%
Basic random variable ~ Poisson distribution: Pois(E)

UEFA. Europe Championship: Poisson and Total PDF
UEFA. Europe Championship: Poisson and Total CDF

Home team goals

Average per match E = 1.24, variance V = 1.22, SD = 1.11, E/V = 1.01, Min = 0, Max = 5
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

UEFA. Europe Championship: Poisson and Severyn distributions and Goals 1 PDF

Away team goals

Average per match E = 1.11, variance V = 1.15, SD = 1.07, E/V = 0.97, Min = 0, Max = 5
Basic random variable ~ Poisson distribution: Pois(E) and authentic random variable ~ Severyn distribition: Sever(E, V) •••

UEFA. Europe Championship: Poisson and Severyn distributions and Goals 2 PDF

Goals difference

Average per match E = 0.13, variance V = 2.59, SD = 1.61, E/V = 0.05, Min = -5, Max = 4
Basic random variable ~ Skellam distribution: Pois(E1)-Pois(E2)

UEFA. Europe Championship: Gaus (Normal) and Difference PDF
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Thursday
11-21-2024
09:25:20 UTC